The European Physical Journal A

, Volume 46, Issue 2, pp 207–212 | Cite as

Pseudospin symmetry for modified Rosen-Morse potential including a Pekeris-type approximation to the pseudo-centrifugal term

  • Gao-Feng Wei
  • Shi-Hai Dong
Regular Article - Theoretical Physics

Abstract.

By applying a Pekeris-type approximation to the pseudo-centrifugal term, we study the pseudospin symmetry of a Dirac nucleon subjected to scalar and vector modified Rosen-Morse (MRM) potentials. A complicated quartic energy equation and spinor wave functions with arbitrary spin-orbit coupling quantum number k are presented. The pseudospin degeneracy is checked numerically. Pseudospin symmetry is discussed theoretically and numerically in the limit case \( \alpha\) \( \rightarrow\) 0 . It is found that the relativistic MRM potential cannot trap a Dirac nucleon in this limit.

Keywords

Spin Symmetry Pseudospin Symmetry Centrifugal Term Spinor Wave Function Spin Symmetry Limit 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. Arima, M. Harvey, K. Shimizu, Phys. Lett. B 30, 517 (1969)CrossRefADSGoogle Scholar
  2. 2.
    K.T. Hecht, A. Adler, Nucl. Phys. A 137, 129 (1969)CrossRefADSGoogle Scholar
  3. 3.
    J.S. Bell, H. Ruegg, Nucl. Phys. B 98, 151 (1975)CrossRefADSGoogle Scholar
  4. 4.
    B.A. Nikolaaus, T. Hoch, D.G. Madland, Phys. Rev. C 46, 1757 (1992)CrossRefADSGoogle Scholar
  5. 5.
    A. Bohr, I. Hamamoto, B.R. Mottelson, Phys. Scr. 26, 267 (1982)CrossRefADSGoogle Scholar
  6. 6.
    J. Dudek, W. Nazarewicz, Z. Szymanski, G.A. Leander, Phys. Rev. Lett. 59, 1405 (1987)CrossRefADSGoogle Scholar
  7. 7.
    D. Troltenier, W. Nazarewicz, Z. Szymanski, J.P. Draayer, Nucl. Phys. A 567, 591 (1994)CrossRefADSGoogle Scholar
  8. 8.
    A.E. Stuchbery, J. Phys. G 25, 611 (1999)CrossRefADSGoogle Scholar
  9. 9.
    A.E. Stuchbery, Nucl. Phys. A 700, 83 (2002)CrossRefADSGoogle Scholar
  10. 10.
    W. Nazarewicz, P.J. Twin, P. Fallon, J.D. Garrett, Phys. Rev. Lett. 64, 1654 (1990)CrossRefADSGoogle Scholar
  11. 11.
    F.S. Stephens et al., Phys. Rev. Lett. 65, 301 (1990)CrossRefADSGoogle Scholar
  12. 12.
    F.S. Stephens et al., Phys. Rev. C 57, R1565 (1998)CrossRefADSGoogle Scholar
  13. 13.
    D. Troltenier, C. Bahri, J.P. Draayer, Nucl. Phys. A 586, 53 (1995)CrossRefADSGoogle Scholar
  14. 14.
    C. Bahri, J.P. Draayer, S.A. Moszkowski, Phys. Rev. Lett. 68, 2133 (1992)CrossRefADSGoogle Scholar
  15. 15.
    A.L. Blokhin, C. Bahri, J.P. Draayer, Phys. Rev. Lett. 74, 4149 (1995)CrossRefADSGoogle Scholar
  16. 16.
    J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997)CrossRefADSGoogle Scholar
  17. 17.
    J.N. Ginocchio, J. Phys. G 25, 617 (1999)CrossRefADSGoogle Scholar
  18. 18.
    J.N. Ginocchio, A. Leviatan, Phys. Lett. B 425, 1 (1998)CrossRefADSGoogle Scholar
  19. 19.
    J.N. Ginocchio, Phys. Rep. 414, 165 (2005)CrossRefMathSciNetADSGoogle Scholar
  20. 20.
    J.N. Ginocchio, D.A. Madland, Phys. Rev. C 57, 1167 (1998)CrossRefADSGoogle Scholar
  21. 21.
    J.N. Ginocchio, Phys. Rep. 315, 231 (1999)CrossRefADSGoogle Scholar
  22. 22.
    J.N. Ginocchio, Nucl. Phys. A 654, 663c (1999)CrossRefADSGoogle Scholar
  23. 23.
    J. Meng, K. Sugawara-Tanabe, S. Yamaji, P. Ring, A. Arima, Phys. Rev. C 58, R628 (1998)CrossRefADSGoogle Scholar
  24. 24.
    S.G. Zhou, J. Meng, P. Ring, Phys. Rev. Lett. 91, 262501 (2003)CrossRefADSGoogle Scholar
  25. 25.
    A. Leviatan, Phys. Rev. Lett. 92, 202501 (2004)CrossRefADSGoogle Scholar
  26. 26.
    J.N. Ginocchio, Phys. Rev. Lett. 95, 252501 (2005)CrossRefADSGoogle Scholar
  27. 27.
    T.S. Chen, H.F. Lü, J. Meng, S.Q. Zhang, S.G. Zhou, Chin. Phys. Lett. 20, 358 (2003)CrossRefADSGoogle Scholar
  28. 28.
    J.N. Ginocchio, Phys. Rev. C 69, 034318 (2004)CrossRefADSGoogle Scholar
  29. 29.
    R. Lisboa, M. Malheiro, A.S. de Castro, P. Alberto, M. Fiolhais, Phys. Rev. C 69, 024319 (2004)CrossRefADSGoogle Scholar
  30. 30.
    J.Y. Guo, R.D. Wang, X.Z. Fang, Phys. Rev. C 72, 054319 (2005)CrossRefADSGoogle Scholar
  31. 31.
    J.Y. Gou, X.Z. Fang, F.X. Xu, Nucl. Phys. A 757, 411 (2005)CrossRefADSGoogle Scholar
  32. 32.
    J.Y. Gou, J.C. Han, R.D. Wang, Phys. Lett. A 353, 378 (2006)CrossRefMathSciNetADSGoogle Scholar
  33. 33.
    Q. Xu, S.J. Zhu, Nucl. Phys. A 768, 161 (2006)CrossRefADSGoogle Scholar
  34. 34.
    A.D. Alhaidari, H. Bahlouli, A. Al-Hasan, Phys. Lett. A 349, 87 (2006)MATHCrossRefMathSciNetADSGoogle Scholar
  35. 35.
    C.S. Jia, P. Guo, Y.F. Diao, X.J. Xie, Eur. Phys. J. A 34, 41 (2007)CrossRefADSGoogle Scholar
  36. 36.
    S. Typel, Nucl. Phys. A 806, 156 (2008) and references thereinCrossRefADSGoogle Scholar
  37. 37.
    A. Leviatan, Phys. Rev. Lett. 103, 042502 (2009)CrossRefADSGoogle Scholar
  38. 38.
    P. Alberto, M. Fiolhais, M. Malheiro, A. Delfino, M. Chiapparini, Phys. Rev. C 65, 034307 (2002)CrossRefADSGoogle Scholar
  39. 39.
    K. Sugawara-Tanabe, S. Yamaji, A. Arima, Phys. Rev. C 65, 054313 (2002)CrossRefADSGoogle Scholar
  40. 40.
    S. Marcos, M. Lo, Eur. Phys. J. A 17, 173 (2003)CrossRefADSGoogle Scholar
  41. 41.
    A.S. de Castro, P. Alberto, R. Lisboa, M. Malheiro, Phys. Rev. C 73, 054309 (2006)CrossRefADSGoogle Scholar
  42. 42.
    C. Berkdemir, Nucl. Phys. A 770, 32 (2006)CrossRefADSGoogle Scholar
  43. 43.
    C.S. Jia, T. Chen, L.G. Cui, Phys. Lett. A 373, 1621 (2009)CrossRefMathSciNetADSGoogle Scholar
  44. 44.
    C. Grosche, J. Phys. A: Math. Gen. 38, 2947 (2005)MATHCrossRefMathSciNetADSGoogle Scholar
  45. 45.
    X.Y. Gu, S.H. Dong, Z.Q. Ma, J. Phys. A: Math. Theor. 42, 035303 (2009)CrossRefMathSciNetADSGoogle Scholar
  46. 46.
    G.F. Wei, S.H. Dong, EPL 87, 40004 (2009)CrossRefADSGoogle Scholar
  47. 47.
    G.F. Wei, S.H. Dong, Eur. Phys. J. A 43, 185 (2010)CrossRefADSGoogle Scholar
  48. 48.
    W.C. Qiang, S.H. Dong, Phys. Lett. A 368, 13 (2007)CrossRefMathSciNetADSGoogle Scholar
  49. 49.
    C.Y. Chen, D.S. Sun, F.L. Lu, Phys. Lett. A 370, 219 (2007)CrossRefMathSciNetADSGoogle Scholar
  50. 50.
    C.L. Pekeris, Phys. Rev. 45, 98 (1934)MATHCrossRefADSGoogle Scholar
  51. 51.
    G.F. Wei, S.H. Dong, Phys. Lett. B 686, 288 (2010)CrossRefADSGoogle Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Gao-Feng Wei
    • 1
  • Shi-Hai Dong
    • 2
  1. 1.Department of Physics and Electro-Optics EngineeringXi’an University of Arts and ScienceXi’anPRC
  2. 2.Escuela Superior de Fısica y Matemáticas, Instituto Politécnico NacionalEdificio 9, Unidad Profesional Adolfo López MateosMexico D. F.Mexico

Personalised recommendations